7826011200 has 504 divisors, whose sum is σ = 33666452352. Its totient is φ = 1683210240.

The previous prime is 7826011199. The next prime is 7826011201. The reversal of 7826011200 is 21106287.

It is an interprime number because it is at equal distance from previous prime (7826011199) and next prime (7826011201).

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×7826011200² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7826011201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1711317 + ... + 1715883.

Almost surely, 2^7826011200 is an apocalyptic number.

7826011200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7826011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16833226176).

7826011200 is an abundant number, since it is smaller than the sum of its proper divisors (25840441152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7826011200 is a wasteful number, since it uses less digits than its factorization.

7826011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4619 (or 4601 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 7826011200 is about 88464.7455204614. The cubic root of 7826011200 is about 1985.3945331383.

Adding to 7826011200 its reverse (21106287), we get a palindrome (7847117487).

The spelling of 7826011200 in words is "seven billion, eight hundred twenty-six million, eleven thousand, two hundred".